A Note on “Common Fixed Point of Multistep Noor Iteration with Errors for a Finite Family of Generalized Asymptotically Quasi-Nonexpansive Mappings”
The purpose of this paper is to give a general and short principle for proving some convergence results of certain types of iterative sequences. A small gap in the paper by Imnang and Suantai (2009) is discussed and corrected. Finally, we prove that the generalized asymptotically quasi-nonexpansive...
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2009/283461 |
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| _version_ | 1832561321784115200 |
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| author | Satit Saejung Suthep Suantai Pongsakorn Yotkaew |
| author_facet | Satit Saejung Suthep Suantai Pongsakorn Yotkaew |
| author_sort | Satit Saejung |
| collection | DOAJ |
| description | The purpose of this paper is to give a general and short principle for proving some convergence results of certain types of iterative sequences. A small gap in the paper by Imnang and Suantai (2009) is discussed and corrected. Finally, we prove that the generalized asymptotically quasi-nonexpansive mappings in the sense of Lan (2006) are nothing but asymptotically quasi-nonexpansive. Hence several results concerning these mappings become a special case of the known ones. |
| format | Article |
| id | doaj-art-d781422806894effb66c4c0b1b1e2af8 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-d781422806894effb66c4c0b1b1e2af82025-02-03T01:25:27ZengWileyAbstract and Applied Analysis1085-33751687-04092009-01-01200910.1155/2009/283461283461A Note on “Common Fixed Point of Multistep Noor Iteration with Errors for a Finite Family of Generalized Asymptotically Quasi-Nonexpansive Mappings”Satit Saejung0Suthep Suantai1Pongsakorn Yotkaew2Department of Mathematics, Khon Kaen University, Khon Kaen 40002, ThailandCentre of Excellence in Mathematics, CHE, Si Ayutthaya Road, Bangkok 10400, ThailandDepartment of Mathematics, Khon Kaen University, Khon Kaen 40002, ThailandThe purpose of this paper is to give a general and short principle for proving some convergence results of certain types of iterative sequences. A small gap in the paper by Imnang and Suantai (2009) is discussed and corrected. Finally, we prove that the generalized asymptotically quasi-nonexpansive mappings in the sense of Lan (2006) are nothing but asymptotically quasi-nonexpansive. Hence several results concerning these mappings become a special case of the known ones.http://dx.doi.org/10.1155/2009/283461 |
| spellingShingle | Satit Saejung Suthep Suantai Pongsakorn Yotkaew A Note on “Common Fixed Point of Multistep Noor Iteration with Errors for a Finite Family of Generalized Asymptotically Quasi-Nonexpansive Mappings” Abstract and Applied Analysis |
| title | A Note on “Common Fixed Point of Multistep Noor Iteration with Errors for a Finite Family of Generalized Asymptotically Quasi-Nonexpansive Mappings” |
| title_full | A Note on “Common Fixed Point of Multistep Noor Iteration with Errors for a Finite Family of Generalized Asymptotically Quasi-Nonexpansive Mappings” |
| title_fullStr | A Note on “Common Fixed Point of Multistep Noor Iteration with Errors for a Finite Family of Generalized Asymptotically Quasi-Nonexpansive Mappings” |
| title_full_unstemmed | A Note on “Common Fixed Point of Multistep Noor Iteration with Errors for a Finite Family of Generalized Asymptotically Quasi-Nonexpansive Mappings” |
| title_short | A Note on “Common Fixed Point of Multistep Noor Iteration with Errors for a Finite Family of Generalized Asymptotically Quasi-Nonexpansive Mappings” |
| title_sort | note on common fixed point of multistep noor iteration with errors for a finite family of generalized asymptotically quasi nonexpansive mappings |
| url | http://dx.doi.org/10.1155/2009/283461 |
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